Question

A student adds the fractions 3/4,5/6, and 1/10 as represented in the work shown. Student's work:3/4+5/6=18/24+20/24=38/24+1/10=380/240+24/240=404/240. The teacher notices that there is an error in the student's work that keeps the work from being mathematically correct. Which of the following aspects of the work does the student need to revise for the work to be mathematically correct?

A. The addition of 18/24+20/24
B. The addition of 38/24+1/10
C. The conversion of 380/240+24/240 to 404/240
D. The representation of 3/4+5/6+1/10

Answer 1

The student needs to revise the addition of 380/240 + 24/240 in their work and the representation of 3/4 + 5/6 + 1/10 is also incorrect.

Step-by-step explanation:

The student needs to revise the addition of 380/240 + 24/240 to 404/240 in their work. The correct addition of these fractions would be:

380/240 + 24/240 = 404/240

However, the correct representation of the initial expression is incorrect as well. To add fractions, we first need to find a common denominator. In this case, the common denominator is 12. Thus, we have:

3/4 + 5/6 + 1/10 = 9/12 + 10/12 + 3/12 = 22/12

So, the correct sum of the fractions is 22/12, not 404/240.